Numerical simulation of two-phase flow by the finite element, discontinuous Galerkin methods and the level set method

• ID: 2782, RIV: 10403986
• ISSN: not specified, ISBN: 978-0-7354-1854-7
• source: AIP Conference Proceedings 2116, 030029 (2019)
• keywords: Numerical simulation; two-phase flow; finite element method; discontinuous Galerkin method; level; set method
• authors: Miloslav Feistauer, Petr Sváček
• authors from KNM: Feistauer Miloslav

Abstract

The subject of the paper is the numerical simulation of two-phase flow of immiscible fluids. Their motion is described by the incompressible Navier-Stokes equations with piecewise constant density and viscosity. The interface between the fluids is defined with the level set method using a transport first-order hyperbolic equation. The Navier-Stokes problem is discretized by the Taylor-Hood P2/P1 finite elements combined with second-order BDF method in time. The transport level set problem is solved with the aid of the space-time discontinuous Galerkin method.